407059401 has 32 divisors (see below), whose sum is σ = 662169600. Its totient is φ = 217244160.

The previous prime is 407059381. The next prime is 407059423. The reversal of 407059401 is 104950704.

It is a happy number.

It is not a de Polignac number, because 407059401 - 2⁵ = 407059369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407059201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21145 + ... + 35513.

It is an arithmetic number, because the mean of its divisors is an integer number (20692800).

Almost surely, 2^407059401 is an apocalyptic number.

It is an amenable number.

407059401 is a deficient number, since it is larger than the sum of its proper divisors (255110199).

407059401 is a wasteful number, since it uses less digits than its factorization.

407059401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14469.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 407059401 is about 20175.7131472471. The cubic root of 407059401 is about 741.1155569117.

The spelling of 407059401 in words is "four hundred seven million, fifty-nine thousand, four hundred one".